{"id":6007,"date":"2019-11-19T18:02:20","date_gmt":"2019-11-19T17:02:20","guid":{"rendered":"http:\/\/bassdu.mine.bz\/?p=6007"},"modified":"2019-11-19T18:03:31","modified_gmt":"2019-11-19T17:03:31","slug":"abstract-zero-vs-ontological-zero-%e2%88%85-vs-0","status":"publish","type":"post","link":"https:\/\/bassdu.mine.bz\/?p=6007","title":{"rendered":"Abstract Zero vs Ontological Zero (\u2205 vs 0)"},"content":{"rendered":"

Abstract Zero vs Ontological Zero (\u2205 vs 0)<\/p>\n

by Thomas Foster – hyperian<\/p>\n

Division by Zero
\n(N<x> indicates N subscript x)
\nEmpiricist scientists and abstract mathematicians deny that division by zero is possible, but that is a faith-based position and contrary to reason. Division by zero is in fact ontologically valid, and represents the interface between matter and mind.<\/p>\n

What is zero divided by zero? Undefinable? Indeterminate? Surely we can do better than that!<\/p>\n

Two conflicting arguments are typically advanced for 0 \/ 0:
\n[Case 1] 0 \/ X = 0, therefore when X = 0, 0 \/ 0 = 0
\n[Case 2] N \/ N = 1, therefore when N = 0, 0 \/ 0 = 1
\nThis kind of arguing comes from failing to understand what zero actually is. There is in fact no discrepancy:
\nCase (1) is correct for abstract zero: \u2205 \/ X does indeed give \u2205 \/ \u2205 = \u2205 if X = \u2205.
\nCase (2) is correct for ontological zero: 0<1> \/ N is a mathematical impossibility due to monads\u2019 indivisibility – if N is finite but NOT if N is monadic (dimensionless).
\ni.e. N = 0 = 0<1><\/p>\n

When x = 0 is substituted into x(\u221e<\u03b1>) = x\/0 [equation E from my previous post \u201cCounting Infinities\u201d] we obtain:
\nx(\u221e<\u03b1>) = x\/0
\n0(\u221e<\u03b1>) = 0\/0
\nSince 0(\u221e<\u03b1>) = 1,
\n1 = 0\/0
\nTherefore 0 \/ 0 = 1.
\nOntologically, this makes perfect sense:
\n0 \/ 0 = 0<1> \/ 0<1>
\ni.e. 1 monad divided by 1 monad equals 1, just as 1 \/ 1 = 1.
\nOne monad \u2018goes into\u2019 one monad exactly one time.<\/p>\n

Now, there is a caveat here – we are assuming 0 \/ 0 means ” 0<1> \/ 0<1> “.
\nIn certain cases, in calculus for example, 0 \/ 0 actually represents an unknown number of monads divided by another unknown number of monads. Therefore 0 \/ 0 would be the equivalent of saying x \/ y = z; or 0<x> \/ 0<y> = z (x divided by y could equal anything since we don’t know what the numbers are, and therefore the result could be any number).
\nOtherwise, when the number of monads is known, division involving quantities of zeroes acts exactly the same as finite division (involving different quantities\/multiples of 1).
\nExample: 0<10> \/ 0<5> = 2. In this case 0 (the base unit of mind) acts just the same as operations involving 1 (the base unit of matter).
\nWhat happens if you split 10 monads into 2 groups i.e. 0<10> \/ 2 = ?
\nYou get 5 monads. 0<10> \/ 2 = 0<5>.<\/p>\n

OBJECTIONS TO DIVISION BY ZERO:
\nFrom Wikipedia:
\n\u201cWith the following assumptions:\u201d
\n0 * 1 = 0
\n0 * 2 = 0
\n\u201cThe following must be true:\u201d
\n0 * 1 = 0 * 2 therefore 0\/0 * 1 = 0\/0 * 2
\n\u201cSimplified, this yields:\u201d
\n1 = 2
\nNeedless to say, the initial assumptions are incorrect:
\n0 * 1 = 0<1> (one monad)
\n0 * 2 = 0<2> (two monads)
\nTherefore 0<1> \u2260 0<2> (One monad does not equal two monads, just as 1 does not equal 2!)<\/p>\n

From\u00a0mathforum.org:<\/a>
\n\u201cDivision by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related.\u201d
\n12\/6 = 2 because 6*2 = 12
\n12 \/ 0 = X would mean that 0 * X = 12
\n\u201cBut no value would work for X because 0 * X = 0. So X \/ 0 doesn\u2019t work.\u201d
\nWrong!
\nFor abstract zero, it is true that \u2205 * X = \u2205. (\u201cNon-existence\u201d is not affected by multiplication).
\nHowever 0 * X \u2260 0 (ontological zero can be multiplied, monads are COUNTABLE).
\nTherefore:
\n12 \/ 0 = 12(\u221e<\u03b1>) i.e. finite matter to dimensionless mind.
\n0 * 12(\u221e<\u03b1>) = 12 i.e. infinite monads ‘making up’ matter.<\/p>\n

\"\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Abstract Zero vs Ontological Zero (\u2205 vs 0) by Thomas Foster – hyperian Division by Zero (N<x> indicates N subscript x) Empiricist scientists and abstract mathematicians deny that division by zero is possible, but that is a faith-based position and contrary to reason. Division by zero is in fact ontologically valid, and represents the interface […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3092],"tags":[2559,2563,2566,1827],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=\/wp\/v2\/posts\/6007"}],"collection":[{"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6007"}],"version-history":[{"count":1,"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=\/wp\/v2\/posts\/6007\/revisions"}],"predecessor-version":[{"id":6008,"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=\/wp\/v2\/posts\/6007\/revisions\/6008"}],"wp:attachment":[{"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6007"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6007"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bassdu.mine.bz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}